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Simplifying 0 = (x + 10)(x + -4) Reorder the terms: 0 = (10 + x)(x + -4) Reorder the terms: 0 = (10 + x)(-4 + x) Multiply (10 + x) * (-4 + x) 0 = (10(-4 + x) + x(-4 + x)) 0 = ((-4 * 10 + x * 10) + x(-4 + x)) 0 = ((-40 + 10x) + x(-4 + x)) 0 = (-40 + 10x + (-4 * x + x * x)) 0 = (-40 + 10x + (-4x + x2)) Combine like terms: 10x + -4x = 6x 0 = (-40 + 6x + x2) Solving 0 = -40 + 6x + x2 Solving for variable 'x'. Combine like terms: 0 + 40 = 40 40 + -6x + -1x2 = -40 + 6x + x2 + 40 + -6x + -1x2 Reorder the terms: 40 + -6x + -1x2 = -40 + 40 + 6x + -6x + x2 + -1x2 Combine like terms: -40 + 40 = 0 40 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2 40 + -6x + -1x2 = 6x + -6x + x2 + -1x2 Combine like terms: 6x + -6x = 0 40 + -6x + -1x2 = 0 + x2 + -1x2 40 + -6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 40 + -6x + -1x2 = 0 Factor a trinomial. (4 + -1x)(10 + x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {4, -10}
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